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27 Οκτ 2022 · (a) The graph of P vs. V is a hyperbola, whereas (b) the graph of \(\left(\dfrac{1}{P}\right)\) vs. V is linear. This diagram shows two graphs. In a, a graph is shown with volume on the horizontal axis and pressure on the vertical axis.
The relationships among the volume of a gas and its pressure, temperature, and amount are summarized in Figure \(\PageIndex{5}\). Volume increases with increasing temperature or amount but decreases with increasing pressure. Figure \(\PageIndex{5}\): The Empirically Determined Relationships among Pressure, Volume, Temperature, and Amount of a Gas.
(a) The graph of P vs. V is a hyperbola, whereas (b) the graph of vs. V is linear. The relationship between the volume and pressure of a given amount of gas at constant temperature was first published by the English natural philosopher Robert Boyle over 300 years ago.
Volume-temperature data for a 1-mole sample of methane gas at 1 atm are listed and graphed in Figure 4. Figure 4. The volume and temperature are linearly related for 1 mole of methane gas at a constant pressure of 1 atm. If the temperature is in kelvin, volume and temperature are directly proportional.
V = kn. Here, the V stands for the volume of the gas, n denotes the amount of gaseous substance present or molecules and K is constant. When the number of gaseous substances increases then there will be a corresponding increase in the volume occupied by the gas. It can be calculated with the help of the following formula:
Figure 9.2.6. The relationship between pressure and volume is inversely proportional. (a) The graph of P vs. V is a parabola, whereas (b) the graph of (1/P) vs. V is linear. with k being a constant.
To get some idea of how pressure, temperature, and volume of a gas are related to one another, consider what happens when you pump air into a deflated tire. The tire’s volume first increases in direct proportion to the amount of air injected, without much increase in the tire pressure.
